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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Optical Design of a Dual Channel Microscope1</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>ITMO University</institution>
          ,
          <addr-line>St. Petersburg</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The article presents a new scheme of an optical microscope. The proposed scheme contains two channels: one works with a wide field of view, the other forms a high-resolution image. The simultaneous fulfillment of these conditions significantly increases the information capacity of the system. The proposed scheme overcomes the limitations imposed by the Lagrange invariant. In addition, the presented work solves the relevant task of optical instrumentation: using one device,it becomes possible to simultaneously obtain an image of an object in two scales, one of which gives a detailed image of microstructures, and the other shows the state of the area around the part of the object being studied in detail. This time synchronization is especially important for studying biological objects. The design features of the optical scheme make it possible to abandon the refocusing of the objective, which is necessary in biological microscopes when the magnification is changed. Thus, the proposed system solves not only scientific and technical tasks, but also improves the ergonomics of work in microscopy.</p>
      </abstract>
      <kwd-group>
        <kwd>Microscope</kwd>
        <kwd>Optical design</kwd>
        <kwd>Light microscopy</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Microscope is one of traditional types of optical devices used to research of
microstructures. Working with a microscope is closely related to the peculiarities of how
operator perceives the object under research. It is known that before the formation of
a sensory image in a person's perception, there is a detection, distinction and
identification of an object (in whole or in its details). It should be noted that systems of
machine vision try to implement a similar algorithm of working with objects [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ]. In
the case of observation with unaided eye, all stages of shaped vision (from isolating
the object of research from the general background to identifying its main features)
occur sequentially [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] with the help of eye accommodation and refocusing of
operator’s attention.
      </p>
      <p>The purpose of using optical devices is empowerment of human eye. Each of the
mentioned stages of perception assume the discrimination of smaller elements;
there1 Copyright © 2020 for this paper by its authors. Use permitted under Creative Commons
License Attribution 4.0 International (CC BY 4.0).
fore, the optical device should help to increase the resolving power of the operator's
eye. In visual instruments, this is associated with an increase in magnification. The
traditional solution of this purpose in microscopy is using of a revolver with several
micro-objectives in the device.</p>
      <p>
        Nowadays, high requirements on optical devices in terms of the quality of the
resulting image are imposed. Also, consumers often want to observe as many objects as
possible at the same time. However, the ability of an optical system to provide a
highresolution image in a wide field is impossible on the basis of the Lagrange invariant
[
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], which expresses the law of conservation of information in geometric optics. The
Lagrange invariant connects the aperture and size of the object with the aperture and
size of the image, thereby imposing a restriction on the transformation of beams.
      </p>
      <p>Changing the magnifications in the microscope takes away a significant part of the
information about the object: the operator is deprived of the opportunity to observe
what is locating around the research field, which is always subject of great interest in
the case of living biological samples.</p>
      <p>
        In addition, the change in magnifications disrupts the continuity of the observation
process, therefore, does not allow use operator's psychophysical abilities effectively.
Also, this action takes time to refocus the system, which can be critical when studying
samples that change their appearance over time: they can be lost from the field of
view or, in the case of living cells that are sensitive to light, irradiate them in vain,
wasting their life resource only to configure the system [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>As a result, there is a contradiction: the operator is either limited in resolution but
retains the possibility of indirect observation of the rest of the field, or acquires the
ability to see details with high resolution, but only in a very small area. Average
magnification with an average field of view is a compromise solution that includes the
disadvantages of both options rather than their advantages.</p>
      <p>The purpose of this work is to design an optical scheme of a microscope that
allows observing objects simultaneously in a wide field and with a high resolution. The
use of such systems will make it possible to eliminate the need of lens refocusing
arising from a sharp decrease in the depth of field and will also provide the possibility
of detecting and identifying the structures under research without reconfiguring of
visual instrument.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Modern Microscopes</title>
      <p>
        As stated in the Abbe diffraction theory, the resolution of a microscope is directly
related to its numerical aperture and wavelength [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
      <p>= 
2
(1)
In the case of work in the visible range, the resolution of the microscope entirely
depends on its numerical aperture. However, as mentioned above, observation of an
image at once in a wide field and with a high aperture is limited according to the
Lagrange invariant.</p>
      <p>Optical Design of a Dual Channel Microscope 3</p>
      <p>
        In order to overcome this restriction, it was decided to develop a dual-channel
optical system. Such systems are widely used in optical instrumentation and in
microscopy in particular. Examples of instruments with observation in two channels are
comparative microscopes and forensic microscopes. For instance, the LEICA FS CB [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]
microscope shown in Figure 1. Microscopes of this type have two channels and are
designed to compare two objects. Although such instruments have the theoretical
possibility of observing objects in one channel with a wide field of view and in the
other with a high aperture, using these types of microscopes experts research two
different objects.
      </p>
      <p>
        An example of two-channel devices, both channels of which are directed to the
same object, are microscopes using interference methods. They have found wide
application in optical coherence tomography [
        <xref ref-type="bibr" rid="ref8 ref9">8-9</xref>
        ]. However, only one of these channels
is for object observation. Another channel of these microscopes is for illumination.
      </p>
      <p>
        Wide-field high-aperture microscopes are also known [
        <xref ref-type="bibr" rid="ref10 ref11">10-11</xref>
        ]. For example,
electronic and fluorescence microscopes. Nevertheless, they use methods other than
optical ones, therefore they cannot be analogues of this development.
      </p>
    </sec>
    <sec id="sec-3">
      <title>Prototype of the Development Device</title>
      <p>
        The prototype of the development is basic optical design of the research
metallographic microscope MIM-7 [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] (see Fig. 2). It is classified as light microscope and
its frontal objective 12 provides two-channel operation.
      </p>
      <p>The illumination channel includes a light source 1, the rays from which are
directed by the collector 2 to the mirror 3. Reflecting from the mirror, the light beam
sequentially encounters on its way a light filter 4, aperture diaphragm 5, lens 6 (and
polarizer 21, if it is included into system), a photo shutter 7 and a field diaphragm 8.
The pentaprism 9 re-reflects the beam, which is then refracted by the lens 10 and falls
on the semitransparent reflective plate 11.</p>
      <p>The scheme of the lighting channel is completed by microlens 12 and illuminated
research subject 13. At the same time, at this place the observation channel begins: in
a reverse beam path from sample through the microlens 12 and the beam-splitting
semitransparent plate 11. After the beam-splitting plate 11 the light passes through the
plug-in analyzer 20 and is refracted by achromatic lens 14. Depending on the selected
method of observation (visually or with a photodetector) operator can change the
position of the mirror 18. When the mirror 18 is included into the system, the beam of
rays enters the eyepiece. To photograph the object, the mirror is removed from the
system, and the beam of rays continues to move through the photo eyepiece 15, is
reflected by the mirror 16 and falls on the image receiver 17.
As mentioned above, the lens 12 provides two channels. It is designed as objective
with infinity tube, which allows the division of light without adding aberrations.
However, such a lens is not designed for use with a cover glass that is necessary for
the research of biological objects, which, at high apertures, will add large spherical
aberration. Furthermore, there is only one observation channel in the optical scheme
of a metallographic microscope. The illumination in this system is in reflected light,
while the research of biomaterial requires illumination in transmitted light. Based on
the foregoing, although the optical scheme of metallographic microscope MIM-7 is
the basis for the optical system under development, its basic optical design is far from
being a complete analogue.
4</p>
    </sec>
    <sec id="sec-4">
      <title>Layout Description</title>
      <p>The proposed scheme of a dual-channel microscope is shown on Figure 3 and consists
of a frontal, wide-field and high-aperture objectives, a beam splitter and optical image
receivers.</p>
      <p>The front lens is designed for simultaneous wide field and high aperture operation.
Its presence removes the need for refocusing on the subject, which usually occurs
with changing the magnification in laboratory microscopes.</p>
      <p>
        A beam splitter separates the light into two channels. To minimize aberrations, it
should have an aperture diaphragm. Moreover, a parallel beam of rays should fall on
the beam splitter, since in case an oblique beam falls on the beam splitter, intractable
coma and astigmatism will appear in the system [
        <xref ref-type="bibr" rid="ref13 ref14">13-14</xref>
        ]. For this reason, the front
lens must be designed as objective with infinity tube. Moreover, it must be designed
to work with a cover glass, which is necessary for the research of biological objects.
The first channel will transmit information with a wide field, which is necessary for
observing large objects, as well as detecting anomalies in biomaterial. A wide-field
lens should provide the necessary correction of field aberrations: astigmatism,
distortion, curvature. The second channel transmits information with high resolution, which
allows a detailed study of the object of research. In this channel, it will be necessary
to correct aberrations of wide beams of rays: coma, spherical aberration,
spherochromatism.
      </p>
      <p>
        Figure 4 shows the layout of dual-channel optical microscope in thin components.
The wide-field channel magnification is 4x, which corresponds to a number of
standard microscope magnifications. The numerical aperture in this channel is 0.1. The
second channel is designed for 40x magnification with an aperture of 0.5. Working at
this aperture will allow viewing objects with a size of 0.55 μm, according to (1).
It is proposed to implement illumination in a dual-channel microscope according to
Koehler (see Fig. 5) [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. This lighting system consists of collector, condenser and
two iris diaphragms: field and aperture. Source 1 is shown by collector 2 in the plane
of aperture diaphragm 3 located in front focal plane of the condenser 4. The field
diaphragm 7 is projected by the condenser in the plane of the studied biological object
5. Also, condenser projects the aperture diaphragm into the entrance pupil of the
objective 6, that is, at infinity. In dual-channel microscope it is necessary to highlight
whole size of the object in the broadband channel with diaphragm 3, and the
numerical aperture of the high-aperture channel with diaphragm 7.
Modern analysis of biological materials requires increasing of the capabilities existing
research instruments. The device based on the proposed scheme enables the operator
to receive and register information about the object simultaneously on two scales.
This demonstrates a new approach to solving the conflict between resolution rage of
the device and its field of view. Also proposed instrument significantly improves the
ergonomics of working with the microscope, eliminating the need for the operator to
configure the device too many times.
      </p>
    </sec>
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